%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN181-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:34:00 PM UTC 2026
% Result : Unsatisfiable 4.60s 1.15s
% Output : Proof 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 36 unt; 0 def)
% Number of atoms : 108 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 94 ( 50 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 113 ( 28 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f122,axiom,
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f122_nnf,plain,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
inference(nnf_transformation,[status(thm)],[f122]) ).
fof(f122_sk,plain,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
inference(skolemisation,[status(esa)],[f122_nnf]) ).
cnf(c122,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f122_sk]) ).
cnf(hi120,axiom,
ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c122]) ).
cnf(f13,axiom,
p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f13_nnf,plain,
! [X] : p0(b,X),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X] : p0(b,X),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
p0(b,X0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi13,axiom,
p0(b,X0) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h30,plain,
p1(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi120,hi13]) ).
cnf(f174,axiom,
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f174_nnf,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(nnf_transformation,[status(thm)],[f174]) ).
fof(f174_sk,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(skolemisation,[status(esa)],[f174_nnf]) ).
cnf(c174,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(esa)],[f174_sk]) ).
cnf(hi171,axiom,
ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
inference(equality_encoding,[status(esa)],[c174]) ).
cnf(h174,plain,
n2(V0) = true,
inference(hyper_resolution,[status(thm)],[hi171,h30]) ).
cnf(f273,axiom,
( ~ n2(A)
| m3(A,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_236) ).
fof(f273_nnf,plain,
! [A] :
( ~ n2(A)
| m3(A,A,A) ),
inference(nnf_transformation,[status(thm)],[f273]) ).
fof(f273_sk,plain,
! [A] :
( ~ n2(A)
| m3(A,A,A) ),
inference(skolemisation,[status(esa)],[f273_nnf]) ).
cnf(c273,plain,
( ~ n2(X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f273_sk]) ).
cnf(hi268,axiom,
ifeq(n2(X0),true,m3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c273]) ).
cnf(h219,plain,
m3(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi268,h174]) ).
cnf(f40,axiom,
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f40_nnf,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi40,axiom,
ifeq(p0(X0,X1),true,ifeq(r0(X2),true,ifeq(m0(X3,X1,X0),true,l1(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(f12,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f12_nnf,plain,
r0(e),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
r0(e),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,axiom,
r0(e) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(f18,axiom,
m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f18_nnf,plain,
! [X,Y] : m0(X,d,Y),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X,Y] : m0(X,d,Y),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
m0(X0,d,X1),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi18,axiom,
m0(X0,d,X1) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h60,plain,
l1(d,V0) = true,
inference(hyper_resolution,[status(thm)],[hi40,hi13,hi12,hi18]) ).
cnf(f223,axiom,
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
fof(f223_nnf,plain,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
inference(nnf_transformation,[status(thm)],[f223]) ).
fof(f223_sk,plain,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
inference(skolemisation,[status(esa)],[f223_nnf]) ).
cnf(c223,plain,
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f223_sk]) ).
cnf(hi220,axiom,
ifeq(l1(X0,X1),true,q2(X1,X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c223]) ).
cnf(h222,plain,
q2(V0,V0,d) = true,
inference(hyper_resolution,[status(thm)],[hi220,h60]) ).
cnf(f247,axiom,
( ~ n2(D)
| k3(D,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_210) ).
fof(f247_nnf,plain,
! [D] :
( ~ n2(D)
| k3(D,D,D) ),
inference(nnf_transformation,[status(thm)],[f247]) ).
fof(f247_sk,plain,
! [D] :
( ~ n2(D)
| k3(D,D,D) ),
inference(skolemisation,[status(esa)],[f247_nnf]) ).
cnf(c247,plain,
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f247_sk]) ).
cnf(hi242,axiom,
ifeq(n2(X0),true,k3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c247]) ).
cnf(h221,plain,
k3(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi242,h174]) ).
cnf(f332,axiom,
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_295) ).
fof(f332_nnf,plain,
! [B,C,D,E,F] :
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
inference(nnf_transformation,[status(thm)],[f332]) ).
fof(f332_sk,plain,
! [B,C,D,E,F] :
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
inference(skolemisation,[status(esa)],[f332_nnf]) ).
cnf(c332,plain,
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f332_sk]) ).
cnf(hi325,axiom,
ifeq(k3(X0,X0,X1),true,ifeq(q2(X2,X3,X1),true,ifeq(m3(X2,X4,X2),true,q4(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c332]) ).
cnf(t23,plain,
q4(d,X1) = true,
inference(hyper_resolution,[status(thm)],[hi325,h221,h222,h219]) ).
cnf(t925,plain,
q4(d,X1) = true,
inference(orient,[status(thm)],[t23]) ).
cnf(f368,negated_conjecture,
~ q4(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ q4(d,b),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ q4(d,b),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ q4(d,b),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
q4(d,b) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t925]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN181-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 00:27:42 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.60/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.60/1.15 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------